Find the correlation coefficient of the following linear equation. find the r-value,
y = 4/3x - 4
A. 0.90
B. 2.66
C. -0.99
D. 1.00
To find the correlation coefficient (r-value) of a linear equation, we need to know the slope of the line. In this case, the slope is 4/3.
The correlation coefficient can be found using the formula r = sqrt(slope^2 / (1 + slope^2))
Plugging in the slope of 4/3 into the formula:
r = sqrt((4/3)^2 / (1 + (4/3)^2))
r = sqrt(16/9 / (1 + 16/9))
r = sqrt(16/9 / (25/9))
r = sqrt(16/25)
r = 4/5
r = 0.80
Therefore, the correlation coefficient of the linear equation y = 4/3x - 4 is 0.80 which is closest to A. 0.90.